Home
Class 11
MATHS
If cos theta=-1/2 and 0^@ < theta < 360^...

If `cos theta=-1/2` and `0^@ < theta < 360^@` then the solutions are

A

`60^@`, `240^@`

B

`120^@, 240^@`

C

`120^@, 210^@`

D

`120^@, 300^@`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATION FORMULAE

    RD SHARMA ENGLISH|Exercise All Questions|145 Videos

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos

Similar Questions

Explore conceptually related problems

If (3sin2theta)/(1-cos2theta)=1/2 and 0^(@)letheta180^(@) , then theta =

The number of solution of the equation sin theta cos theta cos 2 theta .cos 4theta =1/2 in the interval [0,pi]

If (25)^(2)+a^(2)+50a cos theta =(31)^(2)+b^(2)+62 b cos theta=1 and 775 + ab + (31a+25b) cos theta=0 , then the value of cosec^ (2) theta is

If 2 cos ^(2) theta + sin theta - 2=0 and 0^(@) le theta le 90 ^(@) find the value of theta.

Solve cos theta * cos 2 theta * cos 3 theta = (1)/( 4), 0 le theta le pi

Prove that : (2 cos 2^n theta + 1)/(2 cos theta +1) = (2 cos theta -1) (2 cos 2theta -1) (2 cos 2^2 theta -1) … (2 cos 2^(n-1) theta -1)

If sin theta = (1)/(2)cos theta , and 0 le theta le (pi)/(2) , the value of (1)/(2)sin theta is

Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

If (cos theta_(1))/(cos theta_(2))+(sin theta_(1))/(sin theta_(2))=(cos theta_(0))/(cos theta_(2))+(sin theta_(0))/(sin theta_(2))=1 , where theta_(1) and theta_(0) do not differ by can even multiple of pi , prove that (cos theta_(1)*cos theta_(0))/(cos^( 2)theta_(2))+(sin theta_(1)*sin theta_(0))/(sin^(2) theta_(2))=-1

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS-All Questions
  1. Solve the following equation: sin2theta-sin4theta+sin6theta=0

    Text Solution

    |

  2. Solve the following equation: t a ntheta+t a n2theta+t a n3theta=0

    Text Solution

    |

  3. Write the general solution of tan^2 2x=1.

    Text Solution

    |

  4. Solve the equation 5cos^2 theta+7sin^2theta-6=0

    Text Solution

    |

  5. Writhe the number of values of theta\ in\ [0,2pi] thast satisfy the eq...

    Text Solution

    |

  6. If 2sin^2theta=3\ costheta,\ w h e r e\ 0lt=thetalt=2pi, then find the...

    Text Solution

    |

  7. The smallest value of theta satisfying the equation sqrt(3)(cottheta+t...

    Text Solution

    |

  8. If costheta+sqrt(3)sintheta=2, then theta= a. pi//3 b. 2pi...

    Text Solution

    |

  9. The general solution of the equation 7cos^2theta+3sin^2theta=4 is thet...

    Text Solution

    |

  10. A solution of the equation cos^2theta+sintheta+1=0 lies in the interva...

    Text Solution

    |

  11. The number of solution in [0,pi//2] of the equation cos3xtan5x=sin7x i...

    Text Solution

    |

  12. The general value of x satisfying the equation satisfying the equati...

    Text Solution

    |

  13. The smallest positive angle (in degree) which satisfies the equation 2...

    Text Solution

    |

  14. If 4sin^2theta=1, then the values of theta are 2npi+-pi/3,\ n in Z b....

    Text Solution

    |

  15. If cottheta-tantheta=sectheta , then theta is equal to

    Text Solution

    |

  16. A value of theta satisfying costheta+sqrt(3)\ sin theta=2 is a.(5pi)/3...

    Text Solution

    |

  17. If sqrt(3)costheta+sintheta=2 , then general value of theta is:

    Text Solution

    |

  18. General solution of tan5theta=cot2theta is a. (npi)/7+pi/2^(\ ) b. the...

    Text Solution

    |

  19. The solution of the equation cos^2theta+sintheta+1=0 lies ...

    Text Solution

    |

  20. If cos theta=-1/2 and 0^@ < theta < 360^@ then the solutions are

    Text Solution

    |